TSTP Solution File: SYN960+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:13:26 EDT 2023
% Result : Theorem 3.70s 4.00s
% Output : Proof 3.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 19:53:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.70/4.00 SZS status Theorem for theBenchmark.p
% 3.70/4.00 SZS output start Proof for theBenchmark.p
% 3.70/4.00 Clause #0 (by assumption #[]): Eq (Not (Iff (Exists fun X => Exists fun Y => a X Y) (Exists fun Y => Exists fun X => a X Y))) True
% 3.70/4.00 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Iff (Exists fun X => Exists (a X)) (Exists fun Y => Exists fun X => a X Y))) True
% 3.70/4.00 Clause #2 (by clausification #[1]): Eq (Iff (Exists fun X => Exists (a X)) (Exists fun Y => Exists fun X => a X Y)) False
% 3.70/4.00 Clause #3 (by clausification #[2]): Or (Eq (Exists fun X => Exists (a X)) False) (Eq (Exists fun Y => Exists fun X => a X Y) False)
% 3.70/4.00 Clause #4 (by clausification #[2]): Or (Eq (Exists fun X => Exists (a X)) True) (Eq (Exists fun Y => Exists fun X => a X Y) True)
% 3.70/4.00 Clause #5 (by clausification #[3]): ∀ (a_1 : Iota), Or (Eq (Exists fun Y => Exists fun X => a X Y) False) (Eq (Exists (a a_1)) False)
% 3.70/4.00 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota), Or (Eq (Exists (a a_1)) False) (Eq (Exists fun X => a X a_2) False)
% 3.70/4.00 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 a_3 : Iota), Or (Eq (Exists fun X => a X a_1) False) (Eq (a a_2 a_3) False)
% 3.70/4.00 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 a_3 a_4 : Iota), Or (Eq (a a_1 a_2) False) (Eq (a a_3 a_4) False)
% 3.70/4.00 Clause #9 (by clausification #[4]): ∀ (a_1 : Iota), Or (Eq (Exists fun Y => Exists fun X => a X Y) True) (Eq (Exists (a (skS.0 0 a_1))) True)
% 3.70/4.00 Clause #10 (by clausification #[9]): ∀ (a_1 a_2 : Iota), Or (Eq (Exists (a (skS.0 0 a_1))) True) (Eq (Exists fun X => a X (skS.0 1 a_2)) True)
% 3.70/4.00 Clause #11 (by clausification #[10]): ∀ (a_1 a_2 a_3 : Iota), Or (Eq (Exists fun X => a X (skS.0 1 a_1)) True) (Eq (a (skS.0 0 a_2) (skS.0 2 a_2 a_3)) True)
% 3.70/4.00 Clause #12 (by clausification #[11]): ∀ (a_1 a_2 a_3 a_4 : Iota),
% 3.70/4.00 Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Eq (a (skS.0 3 a_3 a_4) (skS.0 1 a_3)) True)
% 3.70/4.00 Clause #14 (by superposition #[12, 8]): ∀ (a_1 a_2 a_3 a_4 : Iota), Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Or (Eq True False) (Eq (a a_3 a_4) False))
% 3.70/4.00 Clause #15 (by clausification #[14]): ∀ (a_1 a_2 a_3 a_4 : Iota), Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Eq (a a_3 a_4) False)
% 3.70/4.00 Clause #17 (by superposition #[15, 12]): ∀ (a_1 a_2 a_3 a_4 : Iota),
% 3.70/4.00 Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Or (Eq (a (skS.0 0 a_3) (skS.0 2 a_3 a_4)) True) (Eq False True))
% 3.70/4.00 Clause #21 (by clausification #[17]): ∀ (a_1 a_2 a_3 a_4 : Iota),
% 3.70/4.00 Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Eq (a (skS.0 0 a_3) (skS.0 2 a_3 a_4)) True)
% 3.70/4.00 Clause #24 (by equality factoring #[21]): ∀ (a_1 a_2 : Iota), Or (Ne True True) (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True)
% 3.70/4.00 Clause #25 (by clausification #[24]): ∀ (a_1 a_2 : Iota), Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Or (Eq True False) (Eq True False))
% 3.70/4.00 Clause #27 (by clausification #[25]): ∀ (a_1 a_2 : Iota), Or (Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True) (Eq True False)
% 3.70/4.00 Clause #28 (by clausification #[27]): ∀ (a_1 a_2 : Iota), Eq (a (skS.0 0 a_1) (skS.0 2 a_1 a_2)) True
% 3.70/4.00 Clause #29 (by superposition #[28, 8]): ∀ (a_1 a_2 : Iota), Or (Eq True False) (Eq (a a_1 a_2) False)
% 3.70/4.00 Clause #31 (by clausification #[29]): ∀ (a_1 a_2 : Iota), Eq (a a_1 a_2) False
% 3.70/4.00 Clause #32 (by superposition #[31, 28]): Eq False True
% 3.70/4.00 Clause #33 (by clausification #[32]): False
% 3.70/4.00 SZS output end Proof for theBenchmark.p
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